What is the domain of f(x)=sqrt(x^2-2x-8) ?

The domain of f(x)=sqrt(x^2-2x-8) is x = 4

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domain of f(x)=sqrt(x^2-2x-8)

domain

f (x) = x^{2} - 2 x - 8

x \leq - 2 or x \geq 4

Interval Notation

(- \infty, - 2] \cup [4, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 2 or x \geq 4

The function domain

x \leq - 2 or x \geq 4

What is the domain of f(x)=sqrt(x^2-2x-8) ?
The domain of f(x)=sqrt(x^2-2x-8) is x<=-2\lor x>= 4